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131141324324320 = 25527117713170749
BaseRepresentation
bin11101110100010110111000…
…000011010011110111100000
3122012022222200101002020102221
4131310112320003103313200
5114142104413011334240
61142525254231120424
736423435161326612
oct3564267003236740
9565288611066387
10131141324324320
11388707a5808772
1212860098213114
13582375c8b646b
1424553b9a86db2
151026447e28a4a
hex7745b80d3de0

131141324324320 has 96 divisors (see below), whose sum is σ = 310984008048000. Its totient is φ = 52259706593280.

The previous prime is 131141324324249. The next prime is 131141324324323. The reversal of 131141324324320 is 23423423141131.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131141324324323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 767950306 + ... + 768121054.

It is an arithmetic number, because the mean of its divisors is an integer number (3239416750500).

Almost surely, 2131141324324320 is an apocalyptic number.

131141324324320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131141324324320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155492004024000).

131141324324320 is an abundant number, since it is smaller than the sum of its proper divisors (179842683723680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131141324324320 is a wasteful number, since it uses less digits than its factorization.

131141324324320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188748 (or 188740 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

Adding to 131141324324320 its reverse (23423423141131), we get a palindrome (154564747465451).

The spelling of 131141324324320 in words is "one hundred thirty-one trillion, one hundred forty-one billion, three hundred twenty-four million, three hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 271 542 1084 1355 2168 2710 4336 5420 8672 10840 17713 21680 35426 43360 70852 88565 141704 170749 177130 283408 341498 354260 566816 682996 708520 853745 1365992 1417040 1707490 2731984 2834080 3414980 4800223 5463968 6829960 9600446 13659920 19200892 24001115 27319840 38401784 46272979 48002230 76803568 92545958 96004460 153607136 185091916 192008920 231364895 370183832 384017840 462729790 740367664 768035680 925459580 1480735328 1850919160 3024477037 3701838320 6048954074 7403676640 12097908148 15122385185 24195816296 30244770370 48391632592 60489540740 96783265184 120979081480 241958162960 483916325920 819633277027 1639266554054 3278533108108 4098166385135 6557066216216 8196332770270 13114132432432 16392665540540 26228264864864 32785331081080 65570662162160 131141324324320